Final answer:
Mathematical models for interspecies competition are based on the competitive exclusion principle, which predicts that two species cannot coexist indefinitely when they compete for the same resources.
Step-by-step explanation:
The mathematical models for competition between species are based on the competitive exclusion principle. This principle states that two species competing for the same resources cannot coexist at constant population values if other ecological factors remain constant. When one species has even the slightest advantage over another, the one with the advantage will dominate in the long term.
This could result in the declined population or extinction of the less-dominant species. The competitive exclusion principle is a part of community ecology, which is concerned with the interactions among species and the consequences of those interactions.